Curved homotopy coalgebras
Category Theory
2014-02-04 v1 K-Theory and Homology
Abstract
We describe the category of homotopy coalgebras, concentrating on properties of relatively cofree homotopy coalgebras, morphisms and coderivations from an ordinary coalgebra to a relatively cofree homotopy coalgebra, morphisms and coderivations between coalgebras of latter type. Cobar- and bar-constructions between counit-complemented curved coalgebras, unit-complemented curved algebras and curved homotopy coalgebras are described. Using twisting cochains an adjunction between cobar- and bar-constructions is derived under additional assumptions.
Cite
@article{arxiv.1402.0408,
title = {Curved homotopy coalgebras},
author = {Volodymyr Lyubashenko},
journal= {arXiv preprint arXiv:1402.0408},
year = {2014}
}
Comments
51 pages